Sketch the graph of f and use your sket separated list. If an answer does not exist, enter DNE.) f(x) = √x² 14-7x absolute maximum value absolute minimum value local maximum value(s) local minimum value(s) if -1 ≤x≤0 if 0

Q: Express the following as a single logarithm. In(13+x³) + ln x - ln (cosx) = |

A:

Q: Which of the following shows the simplified function of cscxsin 01 -1 tan x O cotx

A: Topic - Trigonometry We are given, csc x sinπ2-xWe know that,sinπ2-x=cos(x)

Q: an more work be shown on how to solve this

A: By using a scalar projection to find the shortest distance from the point 1,-2, 5to the plane given…

Q: A particle moves along the x-axis so that at time t 0 its position is given by x(t) = t³ - 3t² 1.…

A:

Q: Let 2 sinx+7cos y = 6. dr

A:

Q: Please solve using related rates and implicit differentiation: A long ladder 20 feet long is…

A:

Q: Consider the initial-value problem  y' = y, y(0) = 3. (a) Use Euler's method with each of the…

A: Given : Consider the initial-value problem  y' = y, y(0) = 3.

Q: Find the second derivative of the vector-valued function r(t) = (7t + 5 sin(t))i + (4t + 5 cos(t))j…

A:

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A:

Q: Let f be defined as follows: x 0 f(x) = Which of the following statements are true about? 1. f(0)…

A:

Q: Optimal Chapter-Flight Fare  If exactly 196 people sign up for a charter flight, Leisure World…

A: need to find out the maximum revenue and fare per passenger.

Q: Find x. Round your answer to the nearest tenth of a degree. 44 X 24 -0° x =

A: We have given a right angle triangle  From given triangle  Perpendicular (p) = 44 Base(b) = 24 Using…

Q: 2. Find the general solution to the following DE, showing working dy dz = 3√ry.

A:

Q: The line of best fit through a set of data is y = 34.764 +2.713x According to this equation, what is…

A:

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A:

Q: the short test distanse between the two curves y=sinx² and x² + y² = 2. where the interset oregen…

A:

Q: Find the indefinite integral. (USE INTEGRATION BY PART ONLY-Use C for the constant of integration.)…

A:

Q: A particle moves along the x-axis so that at time t 0 its position is given by x(t) = t³ - 3t² - 1.…

A: We can find distance travelled by the particle .

Q: What is the integrating factor of (1 + cos x) y' = sin x (sin x + sin xcosx sin x 0 1 + cos x CSC X…

A:

Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a…

A: A sequence an is said to be monotone if it is either increasing (i.e., an≤an+1) or decreasing (i.e.,…

Q: 60. 2 S.² u du 0 u' + 1

A:

Q: Write the equation of the line in slope-interecept form that passes through (4,6) and (4,-3). Then…

A: To find the equation of the line passing through given points

Q: -3π/2 -T -TU/2 3 2- 1 -1 -2 The graph above is a graph of what function? y = tan(x) y = sin(x) y =…

A:

Q: Find a formula for the function graphed. 2) -8-6-4-2 2 4 6 8 x

A: This is a graph of a piece wise function.see below the equation of function

Q: (A) Eliminate the arbitrary constants. 1. xsiny + x²y = c 2. ax² + x + y² = 0 3. y = cx + c² + 1

A: Derivate the given equations to remove the constants.

Q: ? A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

A:

Q: 1 √₁2²-4 d x² - 4

A:

Q: 5 Given sine. and 13 5 0 ₁ + (-1/3) ² - O 5 13 12 13 12 5 ◎[-] 1+ 13 13 12 13 cose= 5 °(9)²+(3)³²-…

A:

Q: A particle moves along the x-axis so that at time t 0 its position is given by x(t) = −t² − 2t + 35.…

A: solution:-particle's positionx(t)=-t2-2t+35where t≥0particle velocityv=ddtx(t)=ddt-t2-2t+35v=-2t-2

Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: a. f(f(x)) b. g(g(x)) c.…

A: Given query is to find indicated composite function.

Q: Find the y'(0) when y = cos (sec²(2x))

A:

Q: Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3.…

A: giveny=4x2-x3

Q: The traffic flow rate past a certain point on a a highway is q(t) = 1300 + 2000t - 420t2 where t is…

A: Topic = Algebra

Q: Evaluate the definite integral. 1 lis 0 (5* −_4*) dx

A: solution:-∫015x-4xdx=∫01exln5-exln4dx=exln5ln5-exln4ln401=e1ln5ln5-e1ln4ln4-e0ln5ln5-e0ln4ln4=5ln5-4…

Q: Find 7' (t), given r(t) = (- 4√t, - 3 ln(3t), 3e-³). F' (t) =

A:

Q: Find the unit tangent vector to the curve at the specified value of the parameter ()+8², ti T(1) -

A:

Q: 1. Consider the DE d'y dx2 - 2 dy − 3y = −9x − 3, y(0) : (0) = ² – 1. - dr Verify that y =…

A:

Q: 4. 4.1 4.2 The demand for a certain item is given by q=-5p²-7p+900 where p represents the price of…

A:

Q: Calculate y' if y = 4log(x³e*)

A:

Q: Consider the following function. f(x) = 16-x2/3 Find f(-64) and f(64). f(-64) = f(64) = Find all…

A:

Q: (2x+3) y'= y + (2x+33 when x = -1, y = 0 11/2

A: Topic = Differential Equation

Q: 2. Let a be a real number, and consider the function h: (-∞, a) U (a, ∞) → R defined by h(x) A. The…

A: The limit of a function f(x) at x=a exists if and only if the right hand limit and left hand limit…

Q: (³ a sin 3a da.

A:

Q: Find the indefinite integral. (Note:USE INTEGRATION BY PART ONLY-Use C for the constant of…

A: We have to find the indefinite integral ∫13 arctan x dx.   Integration by part: ∫u·v dx = u·∫v dx -…

Q: A company that produces landscaping materials is du sand into a conical pile. The sand is being…

A: It is given that the sand is being poured at a rate of 5 ft3/sec. The physical properties of the…

Q: Find the solution to the boundary value problem: d²y dt² dy 2- + 5y = 0, y(0) = 1, y(π, dt

A:

Q: 1. Find the arc length of the following function 3 - (x² − 1) ² - 2 - 3 1≤ x ≤ 3

A:

Q: Find the sum of the series, S. τη Σ 2mn! n=0 S =

A:

Q: A particle moves with position function s = t4 - 4t³ - 8t² + 25t, t≥ 0 (a) At what time does the…

A: Given query is to find the time where velocity is 25.

Q: A continuous function y = f(x) is known to be negative at x = 2 and positive at x = 5. Why does the…

A: Intermediate value Theorem :-If fx is a continuous on a,b,then for every k between fa and fb,there…